For our treatment here of the ED of particles we use notation that is in agreement with [1]} (and [2]}, where applicable). As we've seen so far, particle positions are denoted \(x_{n}^{a}\)  where \(n = 1\cdots N\)  denotes the particle label, and lower case Latin letters \(a, b,c,\)  etc. denote spatial indices, so that \(a = 1,2,3\) . A point in the configuration space \(\mathbf {X}_{N}\)  is given by \(x\) , while configuration space vectors are denoted \(V^{A} = V_{n}^{a}\) , where capital Latin letters \(A, B, C,\)  etc. denote the configuration space index, so that \(A = (a,n)\) .
